JEE Main questions
34495 published questions with worked solutions.
- Consider the function f : R → R defined by f(x) = 2x 1 + 9x^2 . If the composition of f, (f∘f∘f∘…∘f)(x) (10 times) = 2^ 10 x 1 +...
- Let A be a 2 × 2 symmetric matrix such that A bmatrix 1 1 bmatrix = bmatrix 3 7 bmatrix and the determinant of A be 1. If A⁻¹ =...
- There are 4 men and 5 women in Group A, and 5 men and 4 women in Group B. If 4 persons are selected from each group, then the...
- In a tournament, a team plays 10 matches with probabilities of winning and losing each match as 13 and 23 respectively. Let x be...
- Consider a line L passing through the points P(1, 2, 1) and Q(2, 1, −1). If the mirror image of the point A(2, 2, 2) in the line...
- Let y = y(x) be the solution of the differential equation (x + y + 2)² dx = dy, y(0) = −2. Let the maximum and minimum values of...
- An electron is projected with uniform velocity along the axis inside a current carrying long solenoid. Then:
- The electric field in an electromagnetic wave is given by E = i ,40 (t - zc ) NC^ -1 . The magnetic field induction of this wave...
- Which of the following nuclear fragments corresponding to nuclear fission between neutron (^1_0n) and uranium isotope (^ 235 _ 92...
- In an experiment to measure focal length (f) of convex lens, the least counts of the measuring scales for the position of object...
- The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are 8 Ω and 10 Ω...
- A metal wire of uniform mass density having length L and mass M is bent to form a semicircular arc and a particle of mass m is...
- On celsius scale the temperature of a body increases by 40°C. The increase in temperature on Fahrenheit scale is:
- An effective power of a combination of 5 identical convex lenses which are kept in contact along the principal axis is 25 D....
- If a rubber ball falls from a height h and rebounds upto the height of h/2. The percentage loss of total energy of the initial...
- To measure the internal resistance of a battery, potentiometer is used. For R = 10 Ω, the balance point is observed at ℓ = 500 cm...
- The co-ordinates of a particle moving in x-y plane are given by: x = 2 + 4t, y = 3t + 8t^2. The motion of the particle is:
- In an ac circuit, the instantaneous current is zero, when the instantaneous voltage is maximum. In this case, the source may be...
- An infinite plane sheet of charge having uniform surface charge density +σ_s C/m^2 is placed on x-y plane. Another infinitely...
- A alternating current at any instant is given by i = [6 + 56 (100 t + 3 ) ] A. The rms value of the current is ________ A.